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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275378

Chapter 16.3, Problem 38E

Textbook Problem

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Solving a Differential Equation Solve the differential equation given that y_{1} and y_{2} are solutions of the corresponding homogeneous equation.

(a)

(b)

**(a)**

To determine

The solution of the equation

**Given information:**

The differential equation

The solution of the corresponding nonhomogeneous equation

As the solution of the nonhomogeneous equationis

*A* and *B* are constants coefficients.

Let

Differentiate the above equation with respect to *y*.

Again differentiate the above equation with respect to *y*.

Substitute the values of

**(b)**

To determine

The solution of the equation

Multivariable Calculus

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